Download Mental Math 2014 FAMAT State Convention Name School Division

Mental Math
2014 FAMAT State Convention
Name ________________________________________ School _________________________________
Division (circle one):
Calc
Alpha
Theta
Sponsor
__________
21.
__________ 1.
Compute
.
__________ 2.
__________ 3.
What is the smallest prime that divides
minutes and back in 3 minutes. What
Determine the number of positive
was his average velocity? (km/min)
__________ 23.
Find
__________ 24.
Find the mean of 1,2,3,4,6,7,8,9, and 10.
__________ 25.
Find the area of
__________ 26.
Find
A square has a diagonal of 2. What is its
area?
__________ 5.
Benji walks across his 1 km school in 2
7231?
integral factors of 360.
__________ 4.
__________ 22.
If
and
, then
?
__________ 6.
__________ 7.
where each term is a binomial
coefficient.
__________ 8.
__________ 9.
Remainder when 123 is divided by 7
__________ 28.
Find the sum of the first 7 even positive
__________ 29.
How many positive even integers are
factors of 144?
How many numbers less than 100 are
not divisible by 2 or 3?
__________ 12.
__________ 27.
integers.
__________ 10.
__________ 11.
,
__________ 30.
Classify the conic section
__________ 31.
If three consecutive even integers add to
What is the least prime greater than 50
added to the greatest prime less than 50?
24, find the largest of the three.
__________ 13.
__________ 32.
__________ 14.
How many terms are in the geometric
sequence
__________ 15.
Find
to 2 decimal places
__________ 33.
Simplify
__________ 16.
How many real solutions are there to
__________ 34.
If
what is
__________ 17.
A randomly chosen positive integer is
__________ 35.
chosen from the set of all positive
__________ 36.
integers. What is the probability it is not
__________ 37.
divisible by 2 or 3?
__________ 38.
?
?
In the sequence 1,1,2,3… (the Fibonacci
sequence), what is the sum of the first 6
and
Given it is an integer, what is
__________ 19.
__________ 20.
where
are positive integers not equal to 1,
?
__________ 18.
?
__________ 39.
What is the radius of a circle with area
4?
terms?
__________ 40.
(This is not a trick question.)
Mental Math
2014 FAMAT State Convention
Name ________________________________________ School _________________________________
Division (circle one):
Calc
Alpha
Theta
Sponsor
40. 2
1.
8060
2.
7
3.
24
4.
2
5.
1/4
6.
21.21
7.
4
8.
800
9.
0
10. 17/72
11. 33
12. 100
13. 5
14. 2
15. 1.57
16. 2
17. 667
18. 1/3
19. 9216
20. 20
21. 6408
22. 2/5
23. 4/9
24. 50/9
25. 4*pi
26. 32
27. 4
28. 56
29. 12
30. hyperbola
31. 10
32. 11
33. 2sqrt(30)
34. 10,002
35. 744769
36. 120
37. 8192
38. 68
39. 2/sqrt(pi) (or “rationalized”)